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Finding the Third Proportional to 76,015,762 and 165,965,242

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Solution

The third proportional to 76,015,762 and 165,965,242 is: 362,351,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,762 : 165,965,242 = 165,965,242 : x
  2. Step 2: Convert to fraction form
    76,015,762/165,965,242 = 165,965,242/x
  3. Step 3: Cross multiply
    76,015,762x = 165,965,242 × 165,965,242
  4. Step 4: Simplify right side
    76,015,762x = 27,544,461,552,118,564
  5. Step 5: Solve for x
    x = 27,544,461,552,118,564/76,015,762
  6. Step 6: Final answer
    x = 362,351,975.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.